Details

analyze35.0ms (2.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	37.5%	62.5%	0
0%	37.5%	62.5%	1
0%	18.7%	81.3%	2
0%	9.4%	90.6%	3
0%	9.4%	90.6%	4
0%	7%	93%	5
1.2%	4.7%	94.1%	6
1.2%	3.5%	95.3%	7
1.8%	2.6%	95.6%	8
2%	1.9%	96%	9
2.4%	1.3%	96.3%	10
2.6%	1%	96.5%	11
2.7%	0.7%	96.6%	12
2.8%	0.5%	96.7%	13
2.9%	0.3%	96.7%	14

Compiler

Compiled 26 to 15 computations (42.3% saved)

sample1.0s (74.7%)

Results

948.0ms	8256×	body	128	valid
52.0ms	421×	body	128	invalid

Compiler

Compiled 67 to 38 computations (43.3% saved)

simplify21.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
600×	`associate-/r*_binary64`
362×	`distribute-rgt-in_binary64`
331×	`distribute-lft-in_binary64`
206×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	26	17
2	72	15
3	201	15
4	549	15
5	1979	15

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

15.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.0b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

Compiler

Compiled 49 to 29 computations (40.8% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
✓	15.3b	(/.f64 b (*.f64 a a))

series34.0ms (2.4%)

Counts

2 → 48

Calls

2 calls:

23.0ms	(/.f64 b (*.f64 a a))
11.0ms	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

rewrite41.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`
84×	`add-cbrt-cube_binary64`
84×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	183	20
2	2353	20

Stop Event

1×	node limit

Counts

2 → 57

Calls

2 calls:

40.0ms	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
40.0ms	(/.f64 b (*.f64 a a))

simplify53.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

693×	`associate-/r/_binary64`
497×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
232×	`associate-/r*_binary64`
211×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	528
1	17	528
2	30	528
3	55	528
4	136	528
5	444	528
6	1879	528
7	3242	528
8	3964	528
9	4573	528

Stop Event

1×	node limit

Counts

105 → 61

prune27.0ms (1.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	1	62

Error

0.0b

Counts

62 → 1

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

Compiler

Compiled 863 to 454 computations (47.4% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

series7.0ms (0.5%)

Counts

1 → 0

Calls

1 calls:

7.0ms

(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

rewrite34.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
125×	`expm1-udef_binary64`
125×	`log1p-udef_binary64`
114×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	160	12
2	1996	12

Stop Event

1×	node limit

Counts

1 → 23

Calls

1 calls:

33.0ms

(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

23 → 23

prune8.0ms (0.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	1	24

Error

0.0b

Counts

24 → 1

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

Compiler

Compiled 303 to 215 computations (29% saved)

regimes37.0ms (2.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Compiler

Compiled 426 to 245 computations (42.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15

Stop Event

1×

saturated

end32.0ms (2.3%)

Compiler: Compiled 36 to 21 computations (41.7% saved)

Details

analyze35.0ms (2.5%)

sample1.0s (74.7%)

simplify21.0ms (1.5%)

prune3.0ms (0.2%)

localize7.0ms (0.5%)

series34.0ms (2.4%)

rewrite41.0ms (2.9%)

simplify53.0ms (3.8%)

prune27.0ms (1.9%)

localize6.0ms (0.4%)

series7.0ms (0.5%)

rewrite34.0ms (2.4%)

simplify6.0ms (0.4%)

prune8.0ms (0.6%)

regimes37.0ms (2.7%)

simplify2.0ms (0.1%)

end32.0ms (2.3%)

Profiling